As a graduate of Talbot ('94) (while I was in the process of becoming Reformed), I can say that Biola/Talbot is part of the progressive dispensationalist point of view (the late Robert L. Saucy, who taught systematic theology there for 54 years [1961-2015], was a leader in that movement). Moreland is a philosopher, not a theologian, so I can't speak for him. Arnold has written two books, I believe, on the subject of demonic warfare. As far as I am aware, they are not written from a charismatic perspective. You're correct about the low-church evangelical adherence.
Talbot is in the midst of a sea-change, of sorts. With Dr. Saucy's death, and the retirements of at least 3 other members of the senior faculty, there will be a rising up of a new cohort of younger scholars there, over time. It will be interesting to see if progressive dispensationalism remains or if classic dispensationalism (of the Ryrie/Walvoord flavor) will re-assert itself.